How can I add banded lines to the end of cinnamon sticks(or sheets of wood)?
To add the darker banded lines on the ends of the model, you can make a linear gradient texture, instead, I used Google image search.

By selecting all of the edges and by pressing u UV Mapping->Follow Active Quads you should end up with a mapping that is proportional and square.  Be sure to select a face near an edge where you want the mapping to begin.  This will be the Active Quad which the algorithm uses as its basis.  You can see the active quad in the following image, it is pale compared to the other selections and also has a grid of white dots across it. Now rotate and scale the UV Coordinates to align properly with the image you selected.



The color doesn't matter because you can use an RBG To BW node to make it greyscale.  

Here is what it looks like when rendered.





You can also use Generated Coordinates with a Wave Texture set to Bands.  It works well for the model I made but this is because the model is planer and is rolled up with an Armature.  When the Armature Modifier is Applied, it no longer works.  



Here is the Blend file. Select either of the Material Output nodes to make that material active.